cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A036086 Centered cube numbers: a(n) = (n+1)^8+n^8.

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%I A036086 #18 Sep 08 2022 08:44:52
%S A036086 1,257,6817,72097,456161,2070241,7444417,22542017,59823937,143046721,
%T A036086 314358881,644340577,1245712417,2291519777,4038679681,6857857921,
%U A036086 11270724737,17995718017,28003523617,42583563041
%N A036086 Centered cube numbers: a(n) = (n+1)^8+n^8.
%H A036086 Vincenzo Librandi, <a href="/A036086/b036086.txt">Table of n, a(n) for n = 0..10000</a>
%H A036086 B. K. Teo and N. J. A. Sloane, <a href="http://neilsloane.com/doc/magic1/magic1.html">Magic numbers in polygonal and polyhedral clusters</a>, Inorgan. Chem. 24 (1985), 4545-4558.
%H A036086 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1).
%F A036086 G.f.: -(x^6+246*x^5+4047*x^4+11572*x^3+4047*x^2+246*x+1)*(1+x)^2 / (x-1)^9. - _R. J. Mathar_, Oct 13 2011
%p A036086 A036086:=n->(n+1)^8+n^8: seq(A036086(n), n=0..30); # _Wesley Ivan Hurt_, Feb 03 2017
%t A036086 Total/@Partition[Range[0,20]^8,2,1] (* or *) LinearRecurrence[{9,-36,84,-126,126,-84,36,-9,1},{1,257,6817,72097,456161,2070241,7444417,22542017,59823937},30] (* _Harvey P. Dale_, Dec 11 2014 *)
%o A036086 (Magma) [(n+1)^8+n^8: n in [0..20]]; // _Vincenzo Librandi_, Aug 27 2011
%K A036086 nonn,easy
%O A036086 0,2
%A A036086 _N. J. A. Sloane_